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A new test procedure for the choice of dependence structure in risk measurement: application to the US and UK stock market indices

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  • Jeungbo Shim
  • Eun-Joo Lee
  • Seung-Hwan Lee

Abstract

The choice of an appropriate dependence structure in modelling multivariate risks is an important issue because different tail structure embedded in copula leads to a different capital requirement for the institution. We present how to select a well-specified dependence structure to given application data. Using a simple simulation technique, we develop a statistical test to assess the adequacy of a specific dependence structure. We examine the sensitivity of risk estimates to the choice of copulas using the S&P 500 and FTSE 100 stock indices.

Suggested Citation

  • Jeungbo Shim & Eun-Joo Lee & Seung-Hwan Lee, 2016. "A new test procedure for the choice of dependence structure in risk measurement: application to the US and UK stock market indices," Applied Economics, Taylor & Francis Journals, vol. 48(15), pages 1382-1389, March.
    • Handle: RePEc:taf:applec:v:48:y:2016:i:15:p:1382-1389
    DOI: 10.1080/00036846.2015.1100257
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    1. Baur, Dirk G., 2013. "The structure and degree of dependence: A quantile regression approach," Journal of Banking & Finance, Elsevier, vol. 37(3), pages 786-798.
    2. Christian Genest & Jean‐François Quessy & Bruno Rémillard, 2006. "Goodness‐of‐fit Procedures for Copula Models Based on the Probability Integral Transformation," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 33(2), pages 337-366, June.
    3. Kole, Erik & Koedijk, Kees & Verbeek, Marno, 2007. "Selecting copulas for risk management," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2405-2423, August.
    4. anonymous, 2001. "Guidance on risk management of leveraged financing," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Jun, pages 413-414.
    5. Edward Frees & Emiliano Valdez, 1998. "Understanding Relationships Using Copulas," North American Actuarial Journal, Taylor & Francis Journals, vol. 2(1), pages 1-25.
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    1. Bouteska, Ahmed & Sharif, Taimur & Abedin, Mohammad Zoynul, 2023. "COVID-19 and stock returns: Evidence from the Markov switching dependence approach," Research in International Business and Finance, Elsevier, vol. 64(C).

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